221011200 has 216 divisors, whose sum is σ = 811059200. Its totient is φ = 58890240.

The previous prime is 221011177. The next prime is 221011201. The reversal of 221011200 is 2110122.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172161 + ... + 173439.

Almost surely, 2^221011200 is an apocalyptic number.

221011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405529600).

221011200 is an abundant number, since it is smaller than the sum of its proper divisors (590048000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221011200 is a wasteful number, since it uses less digits than its factorization.

221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 221011200 is about 14866.4454393106. The cubic root of 221011200 is about 604.6045727874.

Adding to 221011200 its reverse (2110122), we get a palindrome (223121322).

The spelling of 221011200 in words is "two hundred twenty-one million, eleven thousand, two hundred".